Unit 1 to E Flashcards
A positive number and a unit having appropriate dimensions. No unit is stated if the dimensions are those of a pure number
Magnitude
relationship between the vector and given reference lines and/or planes.
Orientation
relationship between the vector and given reference lines and/or planes.
Orientation
the order of two points on a line parallel to the vector
Sense
together determine the direction of a vector
Orientation and Sense
hypothetical infinite straight line collinear with the vector
Line of Action
Classification of Vectors
Free
Sliding
Bound/Fixed
Unit
may be moved anywhere in space provided it maintains same magnitude and direction
Free vector
may be applied at any point along its line of action
Sliding vector
must remain at the same point of
application
Bound/Fixed
A unit vector (versor) is a vector with the magnitude equal to 1
Unit Vector
is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors)
Dot product
binary operation on two vectors in three-
dimensional space, and is denoted by the symbol x.
Cross product
A change of position relative to a reference point.
Motion
Types of Motion
Absolute
Relative
Constrained
Plane
Helical
Spherical
motion of a body relative to a point on the earth.
Absolute
motion of a body relative to a point on the earth
Absolute
it is guided by contact with other bodies, or by external forces, that any point on it is obliged to move in a definite path
Constrained
of a body is obtained when all points in it move in parallel or coincident planes
Plane
is executed when a body rotates about an axis and at the same time moves parallel with the same axis, two motions bearing a fixed ratio to each other
Helical
is when a body is moving in such a way that any point in it remains at a constant distance from a fixed point.
Spherical Motion
acceleration which causes the direction of motion of a body to change.
Normal Acceleration
the linear acceleration in the direction of motion at the instant considered and is measured by the rate of change of speed along its path
Tangential
is the time required for a complete revolution of generating line
Period
is equal to the length of the generating radius
Amplitude
Angular position of the generating line at any instant with respect to a reference line
Phase
point on one body about which the other rotates at the instant considered
Instant Center/centro
It is the point at which the bodies are relatively at rest at the instant considered
Instant cente/Centro
The theorem states that the instant centers for any three bodies having plane motion lie along the same straight line
Kennedy’s Theorem
